skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: An efficient high-order multiscale finite element method for frequency-domain elastic wave modeling

Journal Article · · Computational Geosciences
 [1]; ORCiD logo [2];  [3];  [1]
  1. Chinese Univ. of Hong Kong (China)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  3. Texas A & M Univ., College Station, TX (United States)
+ Show Author Affiliations

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Office of Energy Efficiency and Renewable Energy (EERE). Geothermal Technologies Office (EE-4G)
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1558964
Alternate ID(s):
OSTI ID: 1558962
Report Number(s):
LA-UR-18-27125; LA-UR-18-24382
Journal Information:
Computational Geosciences, Vol. 23, Issue 5; ISSN 1420-0597
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

References (58)

Multiscale modeling of acoustic wave propagation in 2D media journal March 2014
Lebedev scheme for the numerical simulation of wave propagation in 3D anisotropic elasticity‡: Lebedev scheme for numerical simulation of wave propagation journal January 2010
Massively parallel structured direct solver for equations describing time-harmonic qP-polarized waves in TTI media journal May 2012
An exact Riemann solver for wave propagation in arbitrary anisotropic elastic media with fluid coupling journal February 2018
A Galerkin least-squares finite element method for the two-dimensional Helmholtz equation journal February 1995
High-order finite difference methods for the Helmholtz equation journal September 1998
A perfectly matched layer for the absorption of electromagnetic waves journal October 1994
A Nearly Analytic Discrete Method for Acoustic and Elastic Wave Equations in Anisotropic Media journal April 2003
A staggered discontinuous Galerkin method for the simulation of seismic waves with surface topography journal July 2015
A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems journal January 2006
Spectral element method for elastic and acoustic waves in frequency domain journal December 2016
Fourth‐order finite‐difference P-SV seismograms journal November 1988
P-SV wave propagation in heterogeneous media: Velocity‐stress finite‐difference method journal April 1986
Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation journal January 2011
Compact finite difference schemes of sixth order for the Helmholtz equation journal June 2007
An overview of SuperLU: Algorithms, implementation, and user interface journal September 2005
Sweeping preconditioners for elastic wave propagation with spectral element methods journal February 2014
Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers journal April 2011
A numerical homogenization method for heterogeneous, anisotropic elastic media based on multiscale theory journal July 2015
Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p -Version journal January 2011
2-D non-periodic homogenization to upscale elastic media for P-SV waves: 2-D non-periodic homogenization, PSV case journal June 2010
On 3D modeling of seismic wave propagation via a structured parallel multifrontal direct Helmholtz solver journal August 2011
Multiscale finite element methods for high-contrast problems using local spectral basis functions journal February 2011
Learning dominant wave directions for plane wave methods for high-frequency Helmholtz equations journal May 2017
Using Plane Waves as Base Functions for Solving Time Harmonic Equations with the Ultra Weak Variational Formulation journal June 2003
Improved accuracy for the Helmholtz equation in unbounded domains
  • Turkel, Eli; Farhat, Charbel; Hetmaniuk, Ulrich
  • International Journal for Numerical Methods in Engineering, Vol. 59, Issue 15 https://doi.org/10.1002/nme.882
journal April 2004
An Efficient Multiscale Finite‐Element Method for Frequency‐Domain Seismic Wave Propagation journal February 2018
Earthquake ground motion modeling on parallel computers conference January 1996
Preasymptotic Error Analysis of CIP-FEM and FEM for Helmholtz Equation with High Wave Number. Part II: $hp$ Version journal January 2013
Wavenumber explicit convergence analysis for finite element discretizations of general wave propagation problems journal May 2019
A rapidly converging domain decomposition method for the Helmholtz equation journal May 2013
Sweeping preconditioner for the Helmholtz equation: Hierarchical matrix representation journal February 2011
Seismic imaging of complex onshore structures by 2D elastic frequency-domain full-waveform inversion journal November 2009
3D finite-difference frequency-domain modeling of visco-acoustic wave propagation using a massively parallel direct solver: A feasibility study journal September 2007
Second order homogenization of the elastic wave equation for non-periodic layered media journal August 2007
A dispersion minimizing finite difference scheme and preconditioned solver for the 3D Helmholtz equation journal October 2012
Application of the perfectly matched absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media journal January 2001
Generalized Multiscale Finite Element Methods for Wave Propagation in Heterogeneous Media journal January 2014
Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number journal January 2013
Seismic waveform inversion in the frequency domain, Part 1: Theory and verification in a physical scale model journal May 1999
On high order methods for the heterogeneous Helmholtz equation journal November 2016
Introduction to the spectral element method for three-dimensional seismic wave propagation journal December 1999
A Parallel Sweeping Preconditioner for Heterogeneous 3D Helmholtz Equations journal January 2013
The pseudospectral method: Accurate representation of interfaces in elastic wave calculations journal May 1988
A generalized plane-wave numerical method for smooth nonconstant coefficients journal October 2013
A high-order discontinuous Galerkin method for wave propagation through coupled elastic–acoustic media journal December 2010
Parallel Computation of Entries of ${A}^{-1}$ journal January 2015
A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime journal March 2003
3-D finite-difference, finite-element, discontinuous-Galerkin and spectral-element schemes analysed for their accuracy with respect to P-wave to S-wave speed ratio: Accuracy of the seismic numerical schemes journal October 2011
An overview of full-waveform inversion in exploration geophysics journal November 2009
2D and 3D frequency-domain elastic wave modeling in complex media with a parallel iterative solver journal May 2015
Generalized multiscale finite element methods (GMsFEM) journal October 2013
A high-order multiscale finite-element method for time-domain acoustic-wave modeling journal May 2018
An unsplit convolutional perfectly matched layer technique improved at grazing incidence for the viscoelastic wave equation journal October 2009
Modeling the propagation of elastic waves using a modified finite-difference grid journal January 2000
Elastic full-waveform inversion application using multicomponent measurements of seismic data collection journal March 2014
The mean transmission properties of a fault with imperfect facial contact journal June 1997
Multiscale Finite Element Methods for Nonlinear Problems and Their Applications journal January 2004

Figures / Tables (10)

Figure 1(p. 27)figure Figure 1
Figure 2(p. 28)figure Figure 2
Figure 3(p. 29)figure Figure 3
Figure 4(p. 30)figure Figure 4
Figure 5(p. 31)figure Figure 5
Figure 6(p. 32)figure Figure 6
Figure 7(p. 33)figure Figure 7
Figure 8(p. 34)figure Figure 8
Table 1(p. 36)table Table 1
Table 2(p. 37)table Table 2

Similar Records

A high-order multiscale finite-element method for time-domain elastic wave modeling in strongly heterogeneous media
Journal Article · Sat Sep 14 00:00:00 EDT 2019 · Journal of Applied Geophysics · OSTI ID:1558964
A high-order multiscale finite-element method for time-domain acoustic-wave modeling
Journal Article · Sun Feb 04 00:00:00 EST 2018 · Journal of Computational Physics · OSTI ID:1558964
An Efficient Multiscale Finite-Element Method for Frequency-Domain Seismic Wave Propagation
Journal Article · Tue Feb 13 00:00:00 EST 2018 · Bulletin of the Seismological Society of America (Online) · OSTI ID:1558964

Related Subjects

58 GEOSCIENCES
97 MATHEMATICS AND COMPUTING
Earth Sciences